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12464544204640 = 2551161116100449
BaseRepresentation
bin1011010101100010000010…
…1110101100011101100000
31122010121011111221210102001
42311120200232230131200
53113204341304022030
642302044344333344
72424351011421163
oct265304056543540
948117144853361
1012464544204640
113a76202287490
121493866774254
136c552b06b198
14311403d69ada
15169370e8ccca
hexb5620bac760

12464544204640 has 96 divisors (see below), whose sum is σ = 32651161754400. Its totient is φ = 4458257203200.

The previous prime is 12464544204617. The next prime is 12464544204643. The reversal of 12464544204640 is 4640244546421.

It is a super-2 number, since 2×124645442046402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12464544204643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57942865 + ... + 58157584.

It is an arithmetic number, because the mean of its divisors is an integer number (340116268275).

Almost surely, 212464544204640 is an apocalyptic number.

12464544204640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12464544204640 is an abundant number, since it is smaller than the sum of its proper divisors (20186617549760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12464544204640 is a wasteful number, since it uses less digits than its factorization.

12464544204640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116100536 (or 116100528 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 46.

The spelling of 12464544204640 in words is "twelve trillion, four hundred sixty-four billion, five hundred forty-four million, two hundred four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 61 80 88 110 122 160 176 220 244 305 352 440 488 610 671 880 976 1220 1342 1760 1952 2440 2684 3355 4880 5368 6710 9760 10736 13420 21472 26840 53680 107360 116100449 232200898 464401796 580502245 928803592 1161004490 1277104939 1857607184 2322008980 2554209878 3715214368 4644017960 5108419756 6385524695 7082127389 9288035920 10216839512 12771049390 14164254778 18576071840 20433679024 25542098780 28328509556 35410636945 40867358048 51084197560 56657019112 70821273890 77903401279 102168395120 113314038224 141642547780 155806802558 204336790240 226628076448 283285095560 311613605116 389517006395 566570191120 623227210232 779034012790 1133140382240 1246454420464 1558068025580 2492908840928 3116136051160 6232272102320 12464544204640